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2544 | Thoughts have a dual aspect: as they seem to introspection, and their underlying logical reality [McGinn] |
Full Idea: Our thoughts have a kind of duality, corresponding to their surface appearance to introspection and their underlying logical reality. | |
From: Colin McGinn (The Mysterious Flame [1999], p.147) |
19238 | The logic of relatives relies on objects built of any relations (rather than on classes) [Peirce] |
Full Idea: In the place of the class ...the logic of relatives considers the system, which is composed of objects brought together by any kind of relations whatsoever. | |
From: Charles Sanders Peirce (Reasoning and the Logic of Things [1898], III) | |
A reaction: Peirce's logic of relations might support the purely structural view of reality defended by Ladyman and Ross. Modern logic standardly expresses its semantics in terms of set theory. Peirce pioneered relations in logic. |